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Inequalities for a function involving its integral and derivative
Published online by Cambridge University Press: 14 November 2011
Abstract
We give a concise approach to generalising the inequalities of Wirtinger, Hardy, Weyl and Opial by using the well-known inequality: if X and Y are non-negative, then
for p > 1 (0 < p < 1), respectively.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 1 , 1995 , pp. 133 - 151
- Copyright
- Copyright © Royal Society of Edinburgh 1995
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